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Torque Required in Lowering Load with Acme Threaded Power Screw Formula

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Torque for lowering load is described as the turning effect of force on the axis of rotation that is required in lowering the load. Check FAQs

Mt lo = 0.5 \cdot d m \cdot W \cdot (\frac{(μ \cdot \sec ((0.253))) - \tan (α)}{1 + (μ \cdot \sec ((0.253)) \cdot \tan (α))})

Mt_lo - Torque for lowering load?d_m - Mean Diameter of Power Screw?W - Load on screw?μ - Coefficient of friction at screw thread?α - Helix angle of screw?

Torque Required in Lowering Load with Acme Threaded Power Screw Example

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Here is how the Torque Required in Lowering Load with Acme Threaded Power Screw equation looks like with Values.

Here is how the Torque Required in Lowering Load with Acme Threaded Power Screw equation looks like with Units.

Here is how the Torque Required in Lowering Load with Acme Threaded Power Screw equation looks like.

2944.7036 = 0.5 \cdot 46 \cdot 1700 \cdot (\frac{(0.15 \cdot \sec ((0.253))) - \tan (4.5)}{1 + (0.15 \cdot \sec ((0.253)) \cdot \tan (4.5))})

2944.7036N*mm = 0.5 \cdot 46mm \cdot 1700N \cdot (\frac{(0.15 \cdot \sec ((0.253))) - \tan (4.5°)}{1 + (0.15 \cdot \sec ((0.253)) \cdot \tan (4.5°))})

2944.7036 = 0.5 \cdot 46 \cdot 1700 \cdot (\frac{(0.15 \cdot \sec ((0.253))) - \tan (4.5)}{1 + (0.15 \cdot \sec ((0.253)) \cdot \tan (4.5))})

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Torque Required in Lowering Load with Acme Threaded Power Screw Solution

Follow our step by step solution on how to calculate Torque Required in Lowering Load with Acme Threaded Power Screw?

FIRST Step Consider the formula

Mt lo = 0.5 \cdot d m \cdot W \cdot (\frac{(μ \cdot \sec ((0.253))) - \tan (α)}{1 + (μ \cdot \sec ((0.253)) \cdot \tan (α))})

Next Step Substitute values of Variables

∴

Mt lo = 0.5 \cdot 46mm \cdot 1700N \cdot (\frac{(0.15 \cdot \sec ((0.253))) - \tan (4.5°)}{1 + (0.15 \cdot \sec ((0.253)) \cdot \tan (4.5°))})

Next Step Convert Units

∴

Mt lo = 0.5 \cdot 0.046m \cdot 1700N \cdot (\frac{(0.15 \cdot \sec ((0.253))) - \tan (0.0785rad)}{1 + (0.15 \cdot \sec ((0.253)) \cdot \tan (0.0785rad))})

Next Step Prepare to Evaluate

∴

Mt lo = 0.5 \cdot 0.046 \cdot 1700 \cdot (\frac{(0.15 \cdot \sec ((0.253))) - \tan (0.0785)}{1 + (0.15 \cdot \sec ((0.253)) \cdot \tan (0.0785))})

Next Step Evaluate

∴

Mt lo = 2.94470363075627N*m

Next Step Convert to Output's Unit

∴

Mt lo = 2944.70363075627N*mm

LAST Step Rounding Answer

∴

Mt lo = 2944.7036N*mm

Torque Required in Lowering Load with Acme Threaded Power Screw Formula Elements

Variables

Functions

Torque for lowering load

Torque for lowering load is described as the turning effect of force on the axis of rotation that is required in lowering the load.

Symbol: Mt_lo

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torque for lowering load

Mean Diameter of Power Screw

Mean Diameter of Power Screw is the average diameter of the bearing surface - or more accurately, twice the average distance from the centreline of the thread to the bearing surface.

Symbol: d_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Diameter of Power Screw

Load on screw

Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load on screw

Coefficient of friction at screw thread

Coefficient of friction at screw thread is the ratio defining the force that resists the motion of the nut in relation to the threads in contact with it.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of friction at screw thread

Helix angle of screw

Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Helix angle of screw

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

sec

Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

Syntax: sec(Angle)

Other formulas in Acme Thread category

Go Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw

α = a \tan (\frac{2 \cdot Mt li - W \cdot d m \cdot μ \cdot \sec (0.253 \cdot \frac{π}{180})}{W \cdot d m + 2 \cdot Mt li \cdot μ \cdot \sec (0.253 \cdot \frac{π}{180})})

Go Coefficient of Friction of Power Screw given Torque Required in Lifting Load with Acme Thread

μ = \frac{2 \cdot Mt li - W \cdot d m \cdot \tan (α)}{\sec (0.253) \cdot (W \cdot d m + 2 \cdot Mt li \cdot \tan (α))}

Go Load on Power Screw given Torque Required in Lifting Load with Acme Threaded Screw

W = 2 \cdot Mt li \cdot \frac{1 - μ \cdot \sec ((0.253)) \cdot \tan (α)}{d m \cdot (μ \cdot \sec ((0.253)) + \tan (α))}

Go Torque Required in Lifting Load with Acme Threaded Power Screw

Mt li = 0.5 \cdot d m \cdot W \cdot (\frac{μ \cdot \sec ((0.253)) + \tan (α)}{1 - μ \cdot \sec ((0.253)) \cdot \tan (α)})

How to Evaluate Torque Required in Lowering Load with Acme Threaded Power Screw?

Torque Required in Lowering Load with Acme Threaded Power Screw evaluator uses Torque for lowering load = 0.5*Mean Diameter of Power Screw*Load on screw*(((Coefficient of friction at screw thread*sec((0.253)))-tan(Helix angle of screw))/(1+(Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw)))) to evaluate the Torque for lowering load, Torque Required in Lowering Load with Acme Threaded Power Screw is defined as the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force, or turning effect that is to be applied onto the object or the part to lower the load onto the power screw. Torque for lowering load is denoted by Mt_lo symbol.

How to evaluate Torque Required in Lowering Load with Acme Threaded Power Screw using this online evaluator? To use this online evaluator for Torque Required in Lowering Load with Acme Threaded Power Screw, enter Mean Diameter of Power Screw (d_m), Load on screw (W), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) and hit the calculate button.

FAQs on Torque Required in Lowering Load with Acme Threaded Power Screw

What is the formula to find Torque Required in Lowering Load with Acme Threaded Power Screw?

The formula of Torque Required in Lowering Load with Acme Threaded Power Screw is expressed as Torque for lowering load = 0.5*Mean Diameter of Power Screw*Load on screw*(((Coefficient of friction at screw thread*sec((0.253)))-tan(Helix angle of screw))/(1+(Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw)))). Here is an example- 2.9E+6 = 0.5*0.046*1700*(((0.15*sec((0.253)))-tan(0.0785398163397301))/(1+(0.15*sec((0.253))*tan(0.0785398163397301)))).

How to calculate Torque Required in Lowering Load with Acme Threaded Power Screw?

With Mean Diameter of Power Screw (d_m), Load on screw (W), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) we can find Torque Required in Lowering Load with Acme Threaded Power Screw using the formula - Torque for lowering load = 0.5*Mean Diameter of Power Screw*Load on screw*(((Coefficient of friction at screw thread*sec((0.253)))-tan(Helix angle of screw))/(1+(Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw)))). This formula also uses Tangent (tan), Secant (sec) function(s).

Can the Torque Required in Lowering Load with Acme Threaded Power Screw be negative?

No, the Torque Required in Lowering Load with Acme Threaded Power Screw, measured in Torque cannot be negative.

Which unit is used to measure Torque Required in Lowering Load with Acme Threaded Power Screw?

Torque Required in Lowering Load with Acme Threaded Power Screw is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Torque Required in Lowering Load with Acme Threaded Power Screw can be measured.

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Torque Required in Lowering Load with Acme Threaded Power Screw Formula

Torque Required in Lowering Load with Acme Threaded Power Screw Example

Torque Required in Lowering Load with Acme Threaded Power Screw Solution

Torque Required in Lowering Load with Acme Threaded Power Screw Formula Elements

Other formulas in Acme Thread category

How to Evaluate Torque Required in Lowering Load with Acme Threaded Power Screw?

FAQs on Torque Required in Lowering Load with Acme Threaded Power Screw

Variable Name